9.1: Sequences and Series- Summation Notation
Sequence:
3,7,11,15,....
Series: A series is the sum of a sequence.
3+7+11+15...
(Upper Limit)
(Lower Limit)
This greek letter is known as Sigma. It represents the sum of something. In this case it represents the sum of a series. Sigma with an upper limit, lower limit, and explicit formula is called summation notation.
Example:
10
n=1
This is the partial sum starting with the lower limit of n=1, ending with the last term being 10 (upper limit), and using the explicit formula.
The sum of this series = 160 when you add all of the terms of the partial sum together.
To solve this on a calculator:
sum(seq(explicit formula (2n+5), variable (x), lower limit (1), upper limit (10))
This is a faster way to find the sum instead of adding each term up individualy.
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